- XSummer - Transcendental Functions and Symbolic Summation in Form

Details - XSummer - Transcendental Functions and Symbolic Summation in Form - XSummer - Transcendental Functions and Symbolic Summation in Form

2005-08-02

arxiv.org/abs/math-ph/0508008v1

Comput.Phys.Commun. 174 (2006) 759-770

Physics

Mathematical Physics

21 pages, 1 figure, Latex

Scientific paper

10.1016/j.cpc.2005.12.014

Harmonic sums and their generalizations are extremely useful in the evaluation of higher-order perturbative corrections in quantum field theory. Of particular interest have been the so-called nested sums,where the harmonic sums and their generalizations appear as building blocks, originating for example from the expansion of generalized hypergeometric functions around integer values of the parameters. In this Letter we discuss the implementation of several algorithms to solve these sums by algebraic means, using the computer algebra system Form.

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